Univariate tight wavelet frames of minimal support

This work characterizes (dyadic homogeneous) wavelet frames for $$L^2({{\mathbb {R}}})$$ by means of spectral techniques. These techniques use decomposability properties the frame operator in representations associated with dilation operator. The approach is closely related to usual Fourier domain fiberization techniques, dual Gramian analysis, and extension principles. Spectral formulas are used determine all tight a fixed finite number generators minimal support. method associates this type certain inner operator-valued functions Hardy spaces. cases one two completely solved.